Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions
In this paper, we prove new complete monotonicity properties of some functions related to generalized k -gamma and k -polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving the k -generalized digamma and polygamma fu...
Saved in:
Published in | Journal of inequalities and applications Vol. 2020; no. 1; pp. 1 - 12 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
30.01.2020
Springer Nature B.V SpringerOpen |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | In this paper, we prove new complete monotonicity properties of some functions related to generalized
k
-gamma and
k
-polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving the
k
-generalized digamma and polygamma functions. |
---|---|
ISSN: | 1029-242X 1025-5834 1029-242X |
DOI: | 10.1186/s13660-020-2287-0 |